| Preface | 6 |
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| Acknowledgments | 9 |
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| Contents | 10 |
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| List of Contributors | 16 |
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| 1 Introduction to Metamaterials | 21 |
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| Tie Jun Cui, Ruopeng Liu and David R. Smith | 21 |
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| 1.1 What Is Metamaterial? | 21 |
| 1.2 From Left-Handed Material to Invisible Cloak: A Brief History | 24 |
| 1.3 Optical Transformation and Control of Electromagnetic Waves | 25 |
| 1.4 Homogenization of Artificial Particles and Effective Medium Theory | 26 |
| 1.4.1 General Description | 26 |
| 1.4.2 A TL-Metamaterial Example | 28 |
| 1.5 Rapid Design of Metamaterials | 34 |
| 1.6 Resonant and Non-resonant Metamaterials | 34 |
| 1.7 Applications of Metamaterials | 36 |
| 1.8 Computational Electromagnetics: A New Aspect of Metamaterials | 36 |
| References | 37 |
| 2 Optical Transformation Theory | 40 |
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| Wei Xiang Jiang and Tie Jun Cui | 40 |
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| 2.1 Introduction | 40 |
| 2.2 Optical Transformation Medium | 41 |
| 2.3 Transformation Devices | 44 |
| 2.3.1 Invisibility Cloaks | 44 |
| 2.3.2 EM Concentrators | 52 |
| 2.3.3 EM-Field and Polarization Rotators | 54 |
| 2.3.4 Wave-Shape Transformers | 55 |
| 2.3.5 EM-Wave Bending | 56 |
| 2.3.6 More Invisibility Devices | 58 |
| 2.3.7 Other Optical-Transformation Devices | 60 |
| 2.4 Summary | 62 |
| References | 63 |
| 3 General Theory on Artificial Metamaterials | 68 |
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| Ruopeng Liu, Tie Jun Cui and David R. Smith | 68 |
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| 3.1 Local Field Response and Spatial Dispersion Effect on Metamaterials | 69 |
| 3.2 Spatial Dispersion Model on Artificial Metamaterials | 72 |
| 3.3 Explanation of the Behavior on Metamaterial Structures | 74 |
| 3.4 Verification of the Spatial Dispersion Model | 75 |
| References | 77 |
| 4 Rapid Design for Metamaterials | 79 |
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| Jessie Y. Chin, Ruopeng Liu, Tie Jun Cui and David R. Smith | 79 |
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| 4.1 Introduction | 80 |
| 4.2 The Algorithm of Rapid Design for Metamaterials | 81 |
| 4.2.1 Schematic Description of Rapid Design | 81 |
| 4.2.2 Particle Level Design | 82 |
| 4.3 Examples | 93 |
| 4.3.1 Gradient Index Lens by ELC | 93 |
| 4.3.2 Gradient-Index Metamaterials Designed with Three Variables | 97 |
| 4.3.3 Reduced Parameter Invisible Cloak | 97 |
| 4.3.4 Metamaterial Polarizer | 99 |
| 4.4 Summary | 100 |
| References | 101 |
| 5 Broadband and Low-Loss Non-Resonant Metamaterials | 104 |
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| Ruopeng Liu, Qiang Cheng, Tie Jun Cui and David R. Smith | 104 |
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| 5.1 Analysis of the Metamaterial Structure | 104 |
| 5.2 Demonstration of Broadband Inhomogeneous Metamaterials | 110 |
| References | 113 |
| 6 Experiment on Cloaking Devices | 115 |
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| Ruopeng Liu, Jessie Y. Chin, Chunlin Ji, Tie Jun Cuiand David R. Smith | 115 |
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| 6.1 Invisibility Cloak Design in Free Space | 115 |
| 6.2 Transformation Optics Approach to Theoretical Design of Broadband Ground Plane Cloak | 119 |
| 6.3 Metamaterial Structure Design to Implement Ground-PlaneCloak | 122 |
| 6.4 Experimental Measurement Platform | 124 |
| 6.5 Field Measurement on the Ground-Plane Cloak | 126 |
| 6.6 Power and Standing Wave Measurement on the Ground-Plane Cloak | 128 |
| 6.7 Conclusion | 130 |
| References | 130 |
| 7 Finite-Difference Time-Domain Modeling of Electromagnetic Cloaks | 131 |
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| Christos Argyropoulos, Yan Zhao, Efthymios Kallos and Yang Hao | 131 |
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| 7.1 Introduction | 132 |
| 7.2 FDTD Modeling of Two-Dimensional Lossy Cylindrical Cloaks | 133 |
| 7.2.1 Derivation of the Method | 133 |
| 7.2.2 Discussion and Stability Analysis | 140 |
| 7.2.3 Numerical Results | 142 |
| 7.3 Parallel Dispersive FDTD Modeling of Three-Dimensional Spherical Cloaks | 147 |
| 7.4 FDTD Modeling of the Ground-Plane Cloak | 160 |
| 7.5 Conclusion | 166 |
| References | 167 |
| 8 Compensated Anisotropic Metamaterials: Manipulating Sub-wavelength Images | 170 |
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| Yijun Feng | 170 |
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| 8.1 Introduction | 170 |
| 8.2 Compensated Anisotropic Metamaterial Bilayer | 172 |
| 8.2.1 Anisotropic Metamaterials | 173 |
| 8.2.2 Compensated Bilayer of AMMs | 174 |
| 8.3 Sub-wavelength Imaging by Compensated Anisotropic Metamaterial Bilayer | 176 |
| 8.3.1 Compensated AMM Bilayer Lens | 176 |
| 8.3.2 Loss and Retardation Effects | 178 |
| 8.4 Compensated Anisotropic Metamaterial Prisms: Manipulating Sub-wavelength Images | 180 |
| 8.4.1 General Compensated Bilayer Structure | 181 |
| 8.4.2 Compensated AMM Prism Structures | 182 |
| 8.5 Realizing Compensated AMM Bilayer Lens by Transmission-Line Metamaterials | 187 |
| 8.5.1 Transmission Line Models of AMMs | 187 |
| 8.5.2 Realization of Compensated Bilayer Lens Through TL Metamaterials | 189 |
| 8.5.3 Simulation and Measurement of the TL Bilayer Lens | 191 |
| 8.6 Summary | 194 |
| References | 195 |
| 9 The Dynamical Study of the Metamaterial Systems | 197 |
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| Xunya Jiang, Zheng Liu, Zixian Liang, Peijun Yao, Xulin Lin and Huanyang Chen | 197 |
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| 9.1 Introduction | 197 |
| 9.2 The Temporal Coherence Gain of the Negative-Index Superlens Image | 200 |
| 9.3 The Physical Picture and the Essential Elements of the Dynamical Process for Dispersive Cloaking Structures | 206 |
| 9.4 Limitation of the Electromagnetic Cloak with DispersiveMaterial | 212 |
| 9.5 Expanding the Working Frequency Range of Cloak | 218 |
| 9.6 Summary | 226 |
| References | 226 |
| 10 Photonic Metamaterials Based on Fractal Geometry | 229 |
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| Xueqin Huang, Shiyi Xiao, Lei Zhou, Weijia Wen, C. T. Chan and Ping Sheng | 229 |
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| 10.1 Introduction | 229 |
| 10.2 Electric Metamaterials Based on Fractal Geometry | 232 |
| 10.2.1 Characterization and Modeling of a Metallic FractalPlate | 232 |
| 10.2.2 Mimicking Photonic Bandgap Materials | 236 |
| 10.2.3 Subwavelength Reflectivity | 237 |
| 10.3 Magnetic Metamaterials Based on Fractal Geometry | 239 |
| 10.3.1 Characterizations and Modeling of the Fractal Magnetic Metamaterial | 239 |
| 10.3.2 A Typical Application of the Fractal Magnetic Metamaterial | 243 |
| 10.4 Plasmonic Metamaterials Based on Fractal Geometry | 243 |
| 10.4.1 SPP Band Structures of Fractal Plasmonic Metamaterials | 243 |
| 10.4.2 Extraordinary Optical Transmissions Through Fractal Plasmonic Metamaterials | 246 |
| 10.4.3 Super Imaging with a Fractal Plasmonic Metamaterial as a Lens | 250 |
| 10.5 Other Applications of Fractal Photonic Metamaterials | 252 |
| 10.5.1 Perfect EM Wave Tunneling Through Negativ
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